Multiplicative Magic Square/Examples/Order 4/Smallest

Example of Order $4$ Multiplicative Magic Square

The order $4$ multiplicative magic square with the smallest magic constant is:

$\begin{array}{|c|c|c|c|}

\hline 1 & 15 & 24 & 14 \\ \hline 12 & 28 & 3 & 5 \\ \hline 21 & 6 & 10 & 4 \\ \hline 20 & 2 & 7 & 18 \\ \hline \end{array}$

Its magic constant is $5040$.

Also see

• Smallest Magic Constant of Order 4 Multiplicative Magic Square

Historical Note

Multiplicative Magic Square/Examples/Order 4/Smallest/Historical Note

Sources

• Weisstein, Eric W. "Multiplication Magic Square." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MultiplicationMagicSquare.html